Pith Number

pith:NFMVY4ES

pith:2017:NFMVY4ES55MCFQCFSJVSFGVUPV

not attested not anchored not stored refs pending

Fractional Parts of Dense Additive Subgroups of Real Numbers

Fran\c{c}oise Point, Luc B\'elair

arxiv:1707.06143 v1 · 2017-07-19 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFMVY4ES55MCFQCFSJVSFGVUPV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:39:57.486607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69595c7092ef5822c045926b229ab47d7db3d018cf691c8e81039a1c3f0a3b68

Aliases

arxiv: 1707.06143 · arxiv_version: 1707.06143v1 · doi: 10.48550/arxiv.1707.06143 · pith_short_12: NFMVY4ES55MC · pith_short_16: NFMVY4ES55MCFQCF · pith_short_8: NFMVY4ES

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NFMVY4ES55MCFQCFSJVSFGVUPV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 69595c7092ef5822c045926b229ab47d7db3d018cf691c8e81039a1c3f0a3b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00405457cfe315374f7e0e7670d675a1ff6b5782a6a7a10e1bcb181eee3a1cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-07-19T15:10:58Z",
    "title_canon_sha256": "31d08b3ac89efc6de4c8d6e137422cc7f24d1a94bcbb1d1111e6defb2e08953f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06143",
    "kind": "arxiv",
    "version": 1
  }
}